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What is the value of the greater of two consecutive negative integers
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01 Nov 2021, 06:20
01 Nov 2021, 06:20
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What is the value of the greater of two consecutive negative integers whose product is 182?
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-13
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Re: What is the value of the greater of two consecutive negative integers
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01 Nov 2021, 06:59
01 Nov 2021, 06:59
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Carcass wrote:
What is the value of the greater of two consecutive negative integers whose product is 182?
Show: ::
-13
Let x = the smaller value
So, x + 1 = the next value (since we have CONSECUTIVE integers)
We can write: x(x + 1) = 182
Expand: x² + x = 182
Rewrite as: x² + x - 182 = 0
Factor: (x + 14)(x - 13) = 0
So, x = -14 or x = 13
Since we're told the numbers are NEGATIVE, we know that x = -14
Important: The question asks us to find the greater of the two consecutive negative integers.
Since we let x = the smaller value, we need to find the value of x + 1
Since x = -14, we know that x + 1 = (-14) + 1 = -13
Answer: -13
gmatclubot
Re: What is the value of the greater of two consecutive negative integers [#permalink]
01 Nov 2021, 06:59
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